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Simplifying 5x + -1(2a + c) = 4(x + c) 5x + (2a * -1 + c * -1) = 4(x + c) 5x + (-2a + -1c) = 4(x + c) Reorder the terms: -2a + -1c + 5x = 4(x + c) Reorder the terms: -2a + -1c + 5x = 4(c + x) -2a + -1c + 5x = (c * 4 + x * 4) -2a + -1c + 5x = (4c + 4x) Solving -2a + -1c + 5x = 4c + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. -2a + -1c + c + 5x = 4c + c + 4x Combine like terms: -1c + c = 0 -2a + 0 + 5x = 4c + c + 4x -2a + 5x = 4c + c + 4x Combine like terms: 4c + c = 5c -2a + 5x = 5c + 4x Add '-5x' to each side of the equation. -2a + 5x + -5x = 5c + 4x + -5x Combine like terms: 5x + -5x = 0 -2a + 0 = 5c + 4x + -5x -2a = 5c + 4x + -5x Combine like terms: 4x + -5x = -1x -2a = 5c + -1x Divide each side by '-2'. a = -2.5c + 0.5x Simplifying a = -2.5c + 0.5x
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